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Finding the Third Proportional to 138,878 and 207,404

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Solution

The third proportional to 138,878 and 207,404 is: 309,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,878 : 207,404 = 207,404 : x
  2. Step 2: Convert to fraction form
    138,878/207,404 = 207,404/x
  3. Step 3: Cross multiply
    138,878x = 207,404 × 207,404
  4. Step 4: Simplify right side
    138,878x = 43,016,419,216
  5. Step 5: Solve for x
    x = 43,016,419,216/138,878
  6. Step 6: Final answer
    x = 309,742.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.